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Finding the Fourth Proportional to 363.95, 501.08 and 253.23

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Solution

The fourth proportional to 363.95, 501.08 and 253.23 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.95 : 501.08 = 253.23 : x
  2. Step 2: Convert to fraction form
    363.95/501.08 = 253.23/x
  3. Step 3: Cross multiply
    363.95x = 501.08 × 253.23
  4. Step 4: Simplify right side
    363.95x = 126,888.49
  5. Step 5: Solve for x
    x = 126,888.49/363.95
  6. Step 6: Final answer
    x = 348.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.